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Intrepid
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00001 // @HEADER 00002 // ************************************************************************ 00003 // 00004 // Intrepid Package 00005 // Copyright (2007) Sandia Corporation 00006 // 00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive 00008 // license for use of this work by or on behalf of the U.S. Government. 00009 // 00010 // Redistribution and use in source and binary forms, with or without 00011 // modification, are permitted provided that the following conditions are 00012 // met: 00013 // 00014 // 1. Redistributions of source code must retain the above copyright 00015 // notice, this list of conditions and the following disclaimer. 00016 // 00017 // 2. Redistributions in binary form must reproduce the above copyright 00018 // notice, this list of conditions and the following disclaimer in the 00019 // documentation and/or other materials provided with the distribution. 00020 // 00021 // 3. Neither the name of the Corporation nor the names of the 00022 // contributors may be used to endorse or promote products derived from 00023 // this software without specific prior written permission. 00024 // 00025 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY 00026 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 00027 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 00028 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE 00029 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 00030 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 00031 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 00032 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 00033 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 00034 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 00035 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 00036 // 00037 // Questions? Contact Pavel Bochev (pbboche@sandia.gov) 00038 // Denis Ridzal (dridzal@sandia.gov), or 00039 // Kara Peterson (kjpeter@sandia.gov) 00040 // 00041 // ************************************************************************ 00042 // @HEADER 00043 00049 namespace Intrepid { 00050 00051 template <class Scalar, class ArrayPoint, class ArrayWeight> 00052 CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::CubatureDirectTetDefault(const int degree) { 00053 this->degree_ = degree; 00054 this->dimension_ = 3; 00055 TEUCHOS_TEST_FOR_EXCEPTION((degree < 0) || (degree > INTREPID_CUBATURE_TET_DEFAULT_MAX_ENUM), 00056 std::out_of_range, 00057 ">>> ERROR (CubatureDirectTetDefault): No direct cubature rule implemented for the desired polynomial degree."); 00058 } // end constructor 00059 00060 00061 00062 template <class Scalar, class ArrayPoint, class ArrayWeight> 00063 const CubatureTemplate * CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::exposeCubatureData() const { 00064 return cubature_data_; 00065 } 00066 00067 00068 00069 template <class Scalar, class ArrayPoint, class ArrayWeight> 00070 int CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::getMaxAccuracy() const { 00071 return INTREPID_CUBATURE_TET_DEFAULT_MAX_ENUM; 00072 } 00073 00074 00075 00076 template <class Scalar, class ArrayPoint, class ArrayWeight> 00077 const char* CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::getName() const { 00078 return cubature_name_; 00079 } // end getName 00080 00081 00082 00083 template <class Scalar, class ArrayPoint, class ArrayWeight> 00084 const char* CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_name_ = "INTREPID_CUBATURE_TET_DEFAULT"; 00085 00086 00087 //-------------------------------------------------------------------------------------// 00088 // Definition of cubature templates // 00089 //-------------------------------------------------------------------------------------// 00090 00091 /* 00092 Cubature templates for lines are defined the reference Tetrahedron: 00093 00094 Tetrahedron -> (0,0,0), (1,0,0), (0,1,0), (0,0,1) 00095 */ 00096 00097 /* 00098 This static const member contains templates for default tetrahedron rules. 00099 */ 00100 00101 template <class Scalar, class ArrayPoint, class ArrayWeight> 00102 const CubatureTemplate CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_data_[INTREPID_CUBATURE_TET_DEFAULT_MAX_ENUM+1] = 00103 { 00104 // Cubature templates for the reference tet {(0,0,0), (1,0,0), (0,1,0), (0,0,1)} 00105 // 00106 { 00107 1, 00108 {{1./4., 1./4., 1./4.}}, 00109 {1./6.} 00110 }, 00111 { 00112 1, 00113 {{1./4., 1./4., 1./4.}}, 00114 {1./6.} 00115 }, 00116 { 00117 4, 00118 {{0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280}, 00119 {0.5854101966249684544613760503096914353161, 0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280}, 00120 {0.1381966011250105151795413165634361882280, 0.5854101966249684544613760503096914353161, 0.1381966011250105151795413165634361882280}, 00121 {0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280, 0.5854101966249684544613760503096914353161}}, 00122 {1./24., 00123 1./24., 00124 1./24., 00125 1./24.} 00126 }, 00127 { 00128 5, 00129 {{1./4., 1./4., 1./4.}, 00130 {1./6., 1./6., 1./6.}, 00131 {1./6., 1./6., 1./2.}, 00132 {1./6., 1./2., 1./6.}, 00133 {1./2., 1./6., 1./6.}}, 00134 {-2./15., 00135 3./40., 00136 3./40., 00137 3./40., 00138 3./40.} 00139 }, 00140 { 00141 11, 00142 {{2.50000000000000e-01, 2.50000000000000e-01, 2.50000000000000e-01}, 00143 {7.14285714285715e-02, 7.14285714285715e-02, 7.14285714285715e-02}, 00144 {7.14285714285715e-02, 7.14285714285715e-02, 7.85714285714285e-01}, 00145 {7.14285714285715e-02, 7.85714285714285e-01, 7.14285714285715e-02}, 00146 {7.85714285714285e-01, 7.14285714285715e-02, 7.14285714285715e-02}, 00147 {3.99403576166799e-01, 3.99403576166799e-01, 1.00596423833201e-01}, 00148 {3.99403576166799e-01, 1.00596423833201e-01, 3.99403576166799e-01}, 00149 {1.00596423833201e-01, 3.99403576166799e-01, 3.99403576166799e-01}, 00150 {3.99403576166799e-01, 1.00596423833201e-01, 1.00596423833201e-01}, 00151 {1.00596423833201e-01, 3.99403576166799e-01, 1.00596423833201e-01}, 00152 {1.00596423833201e-01, 1.00596423833201e-01, 3.99403576166799e-01}}, 00153 {-1.31555555555555e-02, 00154 7.62222222222225e-03, 00155 7.62222222222225e-03, 00156 7.62222222222225e-03, 00157 7.62222222222225e-03, 00158 2.48888888888889e-02, 00159 2.48888888888889e-02, 00160 2.48888888888889e-02, 00161 2.48888888888889e-02, 00162 2.48888888888889e-02, 00163 2.48888888888889e-02} 00164 }, 00165 { 00166 14, 00167 {{9.2735250310891226402323913737030605245203e-2, 9.2735250310891226402323913737030605245203e-2, 9.2735250310891226402323913737030605245203e-2}, 00168 {7.2179424906732632079302825878890818426439e-1, 9.2735250310891226402323913737030605245203e-2, 9.2735250310891226402323913737030605245203e-2}, 00169 {9.2735250310891226402323913737030605245203e-2, 7.2179424906732632079302825878890818426439e-1, 9.2735250310891226402323913737030605245203e-2}, 00170 {9.2735250310891226402323913737030605245203e-2, 9.2735250310891226402323913737030605245203e-2, 7.2179424906732632079302825878890818426439e-1}, 00171 {3.1088591926330060979734573376345783299262e-1, 3.1088591926330060979734573376345783299262e-1, 3.1088591926330060979734573376345783299262e-1}, 00172 {6.7342242210098170607962798709626501022148e-2, 3.1088591926330060979734573376345783299262e-1, 3.1088591926330060979734573376345783299262e-1}, 00173 {3.1088591926330060979734573376345783299262e-1, 6.7342242210098170607962798709626501022148e-2, 3.1088591926330060979734573376345783299262e-1}, 00174 {3.1088591926330060979734573376345783299262e-1, 3.1088591926330060979734573376345783299262e-1, 6.7342242210098170607962798709626501022148e-2}, 00175 {4.5503704125649637643858844819262773124457e-2, 4.5503704125649637643858844819262773124457e-2, 4.5449629587435036235614115518073722687554e-1}, 00176 {4.5503704125649689297853203692977039634167e-2, 4.5449629587435031070214679630702296036583e-1, 4.5503704125649637643858844819262773124457e-2}, 00177 {4.5449629587435031070214679630702296036583e-1, 4.5503704125649689297853203692977039634167e-2, 4.5503704125649637643858844819262773124457e-2}, 00178 {4.5503704125649689297853203692977039634167e-2, 4.5449629587435031070214679630702296036583e-1, 4.5449629587435036235614115518073722687554e-1}, 00179 {4.5449629587435031070214679630702296036583e-1, 4.5503704125649689297853203692977039634167e-2, 4.5449629587435036235614115518073722687554e-1}, 00180 {4.5449629587435036235614115518073722687554e-1, 4.5449629587435036235614115518073722687554e-1, 4.5503704125649637643858844819262773124457e-2}}, 00181 {1.2248840519393658257285034247721250587182e-2, 00182 1.2248840519393658257285034247721250587182e-2, 00183 1.2248840519393658257285034247721250587182e-2, 00184 1.2248840519393658257285034247721250587182e-2, 00185 1.8781320953002641799864275388881055635078e-2, 00186 1.8781320953002641799864275388881055635078e-2, 00187 1.8781320953002641799864275388881055635078e-2, 00188 1.8781320953002641799864275388881055635078e-2, 00189 7.0910034628469110730115713533762402962712e-3, 00190 7.0910034628469110730115713533762402962712e-3, 00191 7.0910034628469110730115713533762402962712e-3, 00192 7.0910034628469110730115713533762402962712e-3, 00193 7.0910034628469110730115713533762402962712e-3, 00194 7.0910034628469110730115713533762402962712e-3} 00195 }, 00196 { 00197 24, 00198 {{2.1460287125915202404641618104947039637455e-1, 2.1460287125915202404641618104947039637455e-1, 2.1460287125915202404641618104947039637455e-1}, 00199 {3.5619138622254392786075145685158881087635e-1, 2.1460287125915202404641618104947039637455e-1, 2.1460287125915202404641618104947039637455e-1}, 00200 {2.1460287125915202404641618104947039637455e-1, 3.5619138622254392786075145685158881087635e-1, 2.1460287125915202404641618104947039637455e-1}, 00201 {2.1460287125915202404641618104947039637455e-1, 2.1460287125915202404641618104947039637455e-1, 3.5619138622254392786075145685158881087635e-1}, 00202 {3.2233789014227551528749363980198720305472e-1, 3.2233789014227551528749363980198720305472e-1, 3.2233789014227551528749363980198720305472e-1}, 00203 {3.2986329573173454137519080594038390835837e-2, 3.2233789014227551528749363980198720305472e-1, 3.2233789014227551528749363980198720305472e-1}, 00204 {3.2233789014227551528749363980198720305472e-1, 3.2986329573173454137519080594038390835837e-2, 3.2233789014227551528749363980198720305472e-1}, 00205 {3.2233789014227551528749363980198720305472e-1, 3.2233789014227551528749363980198720305472e-1, 3.2986329573173454137519080594038390835837e-2}, 00206 {4.0673958534611354036686370754218389288312e-2, 4.0673958534611354036686370754218389288312e-2, 4.0673958534611354036686370754218389288312e-2}, 00207 {8.7797812439616593788994088773734483213506e-1, 4.0673958534611354036686370754218389288312e-2, 4.0673958534611354036686370754218389288312e-2}, 00208 {4.0673958534611354036686370754218389288312e-2, 8.7797812439616593788994088773734483213506e-1, 4.0673958534611354036686370754218389288312e-2}, 00209 {4.0673958534611354036686370754218389288312e-2, 4.0673958534611354036686370754218389288312e-2, 8.7797812439616593788994088773734483213506e-1}, 00210 {6.3661001875017529993415628745574107721625e-2, 6.3661001875017529993415628745574107721625e-2, 2.6967233145831579864573760344791209827003e-1}, 00211 {6.3661001875017541929214705659242736905843e-2, 2.6967233145831578670993852653424346908581e-1, 6.3661001875017529993415628745574107721625e-2}, 00212 {2.6967233145831578670993852653424346908581e-1, 6.3661001875017541929214705659242736905843e-2, 6.3661001875017529993415628745574107721625e-2}, 00213 {6.3661001875017533122869029505472299577799e-2, 6.0300566479164914449688453982083787814289e-1, 2.6967233145831580177519100420781029012621e-1}, 00214 {6.0300566479164914449688453982083787814289e-1, 6.3661001875017533122869029505472299577799e-2, 2.6967233145831580177519100420781029012621e-1}, 00215 {6.3661001875017545058668106419140928762018e-2, 2.6967233145831578983939192729414166094199e-1, 6.0300566479164914449688453982083787814289e-1}, 00216 {2.6967233145831578983939192729414166094199e-1, 6.3661001875017545058668106419140928762018e-2, 6.0300566479164914449688453982083787814289e-1}, 00217 {6.0300566479164914449688453982083787814289e-1, 2.6967233145831580177519100420781029012621e-1, 6.3661001875017533122869029505472299577799e-2}, 00218 {2.6967233145831580177519100420781029012621e-1, 6.0300566479164914449688453982083787814289e-1, 6.3661001875017533122869029505472299577799e-2}, 00219 {6.0300566479164913510852433754114330257437e-1, 6.3661001875017523734508827225777724009276e-2, 6.3661001875017523734508827225777724009276e-2}, 00220 {6.3661001875017523734508827225777724009276e-2, 6.0300566479164913510852433754114330257437e-1, 6.3661001875017523734508827225777724009276e-2}, 00221 {6.3661001875017523734508827225777724009276e-2, 6.3661001875017523734508827225777724009276e-2, 6.0300566479164913510852433754114330257437e-1}}, 00222 {6.6537917096945836907319255002212225177840e-3, 00223 6.6537917096945836907319255002212225177840e-3, 00224 6.6537917096945836907319255002212225177840e-3, 00225 6.6537917096945836907319255002212225177840e-3, 00226 9.2261969239424523160433682126100883383192e-3, 00227 9.2261969239424523160433682126100883383192e-3, 00228 9.2261969239424523160433682126100883383192e-3, 00229 9.2261969239424523160433682126100883383192e-3, 00230 1.6795351758867738832382653285812235376638e-3, 00231 1.6795351758867738832382653285812235376638e-3, 00232 1.6795351758867738832382653285812235376638e-3, 00233 1.6795351758867738832382653285812235376638e-3, 00234 8.0357142857142855922177025417513774242999e-3, 00235 8.0357142857142855922177025417513774242999e-3, 00236 8.0357142857142855922177025417513774242999e-3, 00237 8.0357142857142855922177025417513774242999e-3, 00238 8.0357142857142855922177025417513774242999e-3, 00239 8.0357142857142855922177025417513774242999e-3, 00240 8.0357142857142855922177025417513774242999e-3, 00241 8.0357142857142855922177025417513774242999e-3, 00242 8.0357142857142855922177025417513774242999e-3, 00243 8.0357142857142855922177025417513774242999e-3, 00244 8.0357142857142855922177025417513774242999e-3, 00245 8.0357142857142855922177025417513774242999e-3} 00246 }, 00247 { 00248 31, 00249 {{5.00000000000000e-01, 5.00000000000000e-01, 0.00000000000000e+00}, 00250 {5.00000000000000e-01, 0.00000000000000e+00, 5.00000000000000e-01}, 00251 {0.00000000000000e+00, 5.00000000000000e-01, 5.00000000000000e-01}, 00252 {0.00000000000000e+00, 0.00000000000000e+00, 5.00000000000000e-01}, 00253 {0.00000000000000e+00, 5.00000000000000e-01, 0.00000000000000e+00}, 00254 {5.00000000000000e-01, 0.00000000000000e+00, 0.00000000000000e+00}, 00255 {2.50000000000000e-01, 2.50000000000000e-01, 2.50000000000000e-01}, 00256 {7.82131923303180e-02, 7.82131923303180e-02, 7.82131923303180e-02}, 00257 {7.82131923303180e-02, 7.82131923303180e-02, 7.65360423009046e-01}, 00258 {7.82131923303180e-02, 7.65360423009046e-01, 7.82131923303180e-02}, 00259 {7.65360423009046e-01, 7.82131923303180e-02, 7.82131923303180e-02}, 00260 {1.21843216663905e-01, 1.21843216663905e-01, 1.21843216663905e-01}, 00261 {1.21843216663905e-01, 1.21843216663905e-01, 6.34470350008284e-01}, 00262 {1.21843216663905e-01, 6.34470350008284e-01, 1.21843216663905e-01}, 00263 {6.34470350008284e-01, 1.21843216663905e-01, 1.21843216663905e-01}, 00264 {3.32539164446421e-01, 3.32539164446421e-01, 3.32539164446421e-01}, 00265 {3.32539164446421e-01, 3.32539164446421e-01, 2.38250666073803e-03}, 00266 {3.32539164446421e-01, 2.38250666073803e-03, 3.32539164446421e-01}, 00267 {2.38250666073803e-03, 3.32539164446421e-01, 3.32539164446421e-01}, 00268 {1.00000000000000e-01, 1.00000000000000e-01, 2.00000000000000e-01}, 00269 {1.00000000000000e-01, 2.00000000000000e-01, 1.00000000000000e-01}, 00270 {1.00000000000000e-01, 1.00000000000000e-01, 6.00000000000000e-01}, 00271 {1.00000000000000e-01, 6.00000000000000e-01, 1.00000000000000e-01}, 00272 {1.00000000000000e-01, 2.00000000000000e-01, 6.00000000000000e-01}, 00273 {1.00000000000000e-01, 6.00000000000000e-01, 2.00000000000000e-01}, 00274 {2.00000000000000e-01, 1.00000000000000e-01, 1.00000000000000e-01}, 00275 {2.00000000000000e-01, 1.00000000000000e-01, 6.00000000000000e-01}, 00276 {2.00000000000000e-01, 6.00000000000000e-01, 1.00000000000000e-01}, 00277 {6.00000000000000e-01, 1.00000000000000e-01, 2.00000000000000e-01}, 00278 {6.00000000000000e-01, 1.00000000000000e-01, 1.00000000000000e-01}, 00279 {6.00000000000000e-01, 2.00000000000000e-01, 1.00000000000000e-01}}, 00280 {9.70017636684250e-04, 00281 9.70017636684250e-04, 00282 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10093 -7.65266969523215e-02, 10094 -7.65266969523215e-02, 10095 -7.65266969523215e-02, 10096 -7.65266969523215e-02, 10097 -7.65266969523215e-02, 10098 -7.65266969523215e-02, 10099 -7.65266969523215e-02, 10100 -7.65266969523215e-02, 10101 -7.65266969523215e-02, 10102 -7.65266969523215e-02, 10103 -7.65266969523215e-02, 10104 -7.65266969523215e-02, 10105 -7.65266969523215e-02, 10106 -7.65266969523215e-02, 10107 -7.65266969523215e-02, 10108 -7.65266969523215e-02, 10109 -7.65266969523215e-02, 10110 -7.65266969523215e-02, 10111 -7.65266969523215e-02, 10112 -7.65266969523215e-02, 10113 -7.65266969523215e-02, 10114 -7.65266969523215e-02, 10115 -7.65266969523215e-02, 10116 -7.65266969523215e-02, 10117 -7.65266969523215e-02, 10118 -7.65266969523215e-02, 10119 -7.65266969523215e-02, 10120 -7.65266969523215e-02, 10121 -7.65266969523215e-02, 10122 -7.65266969523215e-02, 10123 -7.65266969523215e-02, 10124 9.51771589754788e-03, 10125 9.51771589754788e-03, 10126 9.51771589754788e-03, 10127 9.51771589754788e-03, 10128 9.51771589754788e-03, 10129 9.51771589754788e-03, 10130 9.51771589754788e-03, 10131 9.51771589754788e-03, 10132 9.51771589754788e-03, 10133 9.51771589754788e-03, 10134 9.51771589754788e-03, 10135 9.51771589754788e-03, 10136 9.51771589754788e-03, 10137 9.51771589754788e-03, 10138 9.51771589754788e-03, 10139 9.51771589754788e-03, 10140 9.51771589754788e-03, 10141 9.51771589754788e-03, 10142 9.51771589754788e-03, 10143 9.51771589754788e-03, 10144 9.51771589754788e-03, 10145 9.51771589754788e-03, 10146 9.51771589754788e-03, 10147 9.51771589754788e-03, 10148 9.51771589754788e-03, 10149 9.51771589754788e-03, 10150 9.51771589754788e-03, 10151 9.51771589754788e-03, 10152 9.51771589754788e-03, 10153 9.51771589754788e-03, 10154 9.51771589754788e-03, 10155 9.51771589754788e-03, 10156 9.51771589754788e-03, 10157 9.51771589754788e-03, 10158 9.51771589754788e-03, 10159 -5.31987018877625e-04, 10160 -5.31987018877625e-04, 10161 -5.31987018877625e-04, 10162 -5.31987018877625e-04, 10163 -5.31987018877625e-04, 10164 -5.31987018877625e-04, 10165 -5.31987018877625e-04, 10166 -5.31987018877625e-04, 10167 -5.31987018877625e-04, 10168 -5.31987018877625e-04, 10169 -5.31987018877625e-04, 10170 -5.31987018877625e-04, 10171 -5.31987018877625e-04, 10172 -5.31987018877625e-04, 10173 -5.31987018877625e-04, 10174 -5.31987018877625e-04, 10175 -5.31987018877625e-04, 10176 -5.31987018877625e-04, 10177 -5.31987018877625e-04, 10178 -5.31987018877625e-04, 10179 1.04267676620000e-05, 10180 1.04267676620000e-05, 10181 1.04267676620000e-05, 10182 1.04267676620000e-05, 10183 1.04267676620000e-05, 10184 1.04267676620000e-05, 10185 1.04267676620000e-05, 10186 1.04267676620000e-05, 10187 1.04267676620000e-05, 10188 1.04267676620000e-05, 10189 -4.40873201250000e-08, 10190 -4.40873201250000e-08, 10191 -4.40873201250000e-08, 10192 -4.40873201250000e-08, 10193 1.32583750000000e-11} 10194 } // end Tet 10195 10196 }; 10197 10198 } // end namespace Intrepid
1.7.6.1